A College Has Seven Applicants for Three Scholarships: Four Females

question 70

Short Answer

A college has seven applicants for three scholarships: four females and three males. Suppose that the seven applicants are equally qualified and that no preference is given by the selection committee for choosing either gender. Let x equal the number of female students chosen for the three scholarships.
What is the mean of the distribution of x?
______________
What is the variance of the distribution of x?
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What is the probability that only one female will receive a scholarship?
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What is the probability that two females will receive a scholarship?
______________
What is the probability that none of the three males will receive a scholarship?
______________
What is the probability that none of the four females will receive a scholarship?
______________

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Definitions:

Ethical Dilemma

A situation in which a person faces a choice between two or more morally right or acceptable courses of action that are in conflict.

Ethical Principles

Fundamental guidelines that inform ethical decision-making and conduct in various fields.

Conflicting Principles

Circumstances where two or more fundamental rules or beliefs are at odds with each other, making a situation difficult to navigate.

Ethical Decision

A decision-making process that involves evaluating and choosing among alternatives in a manner consistent with ethical principles.